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Finding the Third Proportional to 129,137.63 and 203,610.38

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Solution

The third proportional to 129,137.63 and 203,610.38 is: 321,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,137.63 : 203,610.38 = 203,610.38 : x
  2. Step 2: Convert to fraction form
    129,137.63/203,610.38 = 203,610.38/x
  3. Step 3: Cross multiply
    129,137.63x = 203,610.38 × 203,610.38
  4. Step 4: Simplify right side
    129,137.63x = 41,457,184,807.64
  5. Step 5: Solve for x
    x = 41,457,184,807.64/129,137.63
  6. Step 6: Final answer
    x = 321,031.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.